Research: Number Theory

Hermite Constants for Real Quadratic Fields

The Hermite constant for the ring of integers in real quadratic fields $$\mathbb{Q}(\sqrt{d})$$ for square-free positive integers $$d$$ are plotted above. The color of each point signifies the class number of the field. This is part of a current project of D. Yasaki into scaled trace forms over real quadratic fields.